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Finding the Fourth Proportional to 41,643.10, 57,467.01 and 22,780

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Solution

The fourth proportional to 41,643.10, 57,467.01 and 22,780 is: 31,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,643.10 : 57,467.01 = 22,780 : x
  2. Step 2: Convert to fraction form
    41,643.10/57,467.01 = 22,780/x
  3. Step 3: Cross multiply
    41,643.10x = 57,467.01 × 22,780
  4. Step 4: Simplify right side
    41,643.10x = 1,309,098,487.80
  5. Step 5: Solve for x
    x = 1,309,098,487.80/41,643.10
  6. Step 6: Final answer
    x = 31,436.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.